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X(2), X(6) vertices of the circumtangential triangle infinite points of K024 

K686 is another member of the class CL004. See also CL061. Its root is X(14614) on the lines X(2)X(6), X(25)X(648), X(32)X(538), X(98)X(1351), X(99)X(1384), etc. 

K686 is the only nK(X6, R, X2) which is an equilateral cubic. *** Let (C) be the circle with center O which is orthogonal to the circle with diameter GK. K686 is the locus of M such that M and its isogonal conjugate M* are conjugate points with respect to (C). 
